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[PDF] Top 20 Existence of positive solutions of the Cauchy problem for a second order differential equation

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Existence of positive solutions of the Cauchy problem for a second order differential equation

Existence of positive solutions of the Cauchy problem for a second order differential equation

... Existence of positive solutions of the Cauchy problem for a second-order differential equation Toshiharu Kawasaki1* and Masashi Toyoda2 * Correspondence: [email protected] 1[r] ... See full document

14

Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

Positive solutions of periodic boundary value problems for the second-order differential equation with a parameter

... With appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and helpful. The Liebau phenomenon, which is in honor of the physi- cian Liebauh’s pioneering ... See full document

11

Positive solutions for nonlinear second order differential equations with singularities

Positive solutions for nonlinear second order differential equations with singularities

... the existence positive periodic solutions to second order differential equations with singular nonlinear ...a problem has at least one positive solutions ... See full document

14

Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation

Existence and uniqueness of solutions for periodic-integrable boundary value problem of second order differential equation

... Periodic solutions for second order differential ...Z: Positive solutions to a system of second-order nonlocal boundary value ... See full document

9

Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments

Positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments

... Boundary value problems with integral boundary conditions arise naturally in thermal conduction problems [], semiconductor problems [], hydrodynamic problems [], ther- mostat problems [] and so on. It is interesting ... See full document

21

On efficient abstract method for the study of Cauchy problem for a second order differential equation set on a singular cylindrical domain

On efficient abstract method for the study of Cauchy problem for a second order differential equation set on a singular cylindrical domain

... of a forthcoming study. In our situation, the boundary of the domain Π given by (1.1) is at the origin of several difficulties which make the use of the classical tools a complicated task. Then, we have opted for the use ... See full document

7

Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations

Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations

... The first goal of this paper is to establish several criteria for the optimal intervals of the parameter λ so as to ensure the existence of positive solutions for problem (.). Our method is ... See full document

22

Existence of positive periodic solutions of second-order differential equations with weak singularities

Existence of positive periodic solutions of second-order differential equations with weak singularities

... Recently, Torres [] showed how a weak singularity can play an important role if Schauder’s fixed point theorem is chosen in the proof of the existence of positive periodic solutions for (.). From ... See full document

8

THE EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATION WITH BOUNDER VALUE PROBLEM IN THE BANACH SPACE

THE EXISTENCE OF POSITIVE SOLUTIONS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATION WITH BOUNDER VALUE PROBLEM IN THE BANACH SPACE

... of differential equation often times involves the theory of function spaces that are defined in terms of properties of pertinent functions and their ...derivatives. Differential equations modeled in ... See full document

9

Existence and uniqueness of positive periodic solutions for a first order functional differential equation

Existence and uniqueness of positive periodic solutions for a first order functional differential equation

... upper-lower solutions must be assumed. However, it is difficult to verify the existence of upper-lower solutions for concrete functional differential ...the existence and uniqueness of ... See full document

15

Existence of positive periodic solutions for third order differential equation with strong singularity

Existence of positive periodic solutions for third order differential equation with strong singularity

... where f ∈ C( R× (, ∞ ) × R× R ) is ω-periodic in t, and f (t, u, v, w) may be singular at u = . By applying of a fixed point theorem in cones, the author obtained that existence results of positive ... See full document

12

Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods

Existence and multiplicity of solutions for a second order impulsive differential equation via variational methods

... that equation () has at least two classical solutions and infinitely many classical solutions under different ...impulsive problem in [] cannot only have two solutions but also have ... See full document

9

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

Existence of positive solutions for second order impulsive differential equations with delay and three point boundary value problem

... the existence of three positive solutions to a type of three-point boundary value problems for second-order impulsive and delay differential equations, and we obtain the result that ... See full document

11

Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity

... where 2 < α ≤ 3, 0 < β ≤ 1, the nonlinearity f (t, u) may change sign on some set. By means of the monotone iterative technique, the existence of nontrivial solutions or positive so- lutions is ... See full document

17

On the existence of nonnegative solutions for a class of fractional boundary value problems

On the existence of nonnegative solutions for a class of fractional boundary value problems

... Nonnegative solutions for nonlinear fractional differential equations comprising of standard Caputo fractional derivative have been ...the solutions are unique and further unique as well as ... See full document

10

On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

... fractional order operator and measure of noncompactness. A new existence result and the global attractive property of the solutions will be given and proved in Section ... See full document

16

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document

9

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

... Unlike initial value problems, which are normally uniquely solvable, boundary value problems can have no solution or several solutions. However, we will adopt a strategy in the present paper to cope with the weak ... See full document

11

Self similar solutions to the spherically symmetric Euler equations with a two constant equation of

Self similar solutions to the spherically symmetric Euler equations with a two constant equation of

... piston problem to the Euler equa- tions for compressible flows was started by Chen ...value problem of the second-order ordinary differential equation in the velocity potential ... See full document

15

Positive periodic solutions for a second-order functional differential equation

Positive periodic solutions for a second-order functional differential equation

... the second-order delay equation () as well as Equation () (for Equation (), see ...the existence of positive periodic solutions of Equation ...of ... See full document

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